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Fix the build
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commit
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6 changed files with 161 additions and 61 deletions
154
test/libc/tinymath/fsum_test.cc
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154
test/libc/tinymath/fsum_test.cc
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#include "libc/assert.h"
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#include "libc/calls/struct/timespec.h"
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#include "libc/intrin/bsr.h"
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#include "libc/macros.internal.h"
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#include "libc/math.h"
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#include "libc/mem/gc.h"
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#include "libc/mem/mem.h"
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#include "libc/runtime/runtime.h"
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#include "libc/stdio/stdio.h"
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#include "libc/x/xasprintf.h"
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int rand32(void) {
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/* Knuth, D.E., "The Art of Computer Programming," Vol 2,
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Seminumerical Algorithms, Third Edition, Addison-Wesley, 1998,
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p. 106 (line 26) & p. 108 */
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static unsigned long long lcg = 1;
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lcg *= 6364136223846793005;
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lcg += 1442695040888963407;
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return lcg >> 32;
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}
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float float01(unsigned x) { // (0,1)
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return 1.f / 8388608 * ((x >> 9) + .5f);
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}
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float numba(void) { // (-1,1)
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return float01(rand32()) * 2 - 1;
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}
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double fsumf_gold(const float *p, size_t n) {
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size_t i;
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double s;
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if (n > 8)
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return fsumf_gold(p, n / 2) + fsumf_gold(p + n / 2, n - n / 2);
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for (s = i = 0; i < n; ++i)
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s += p[i];
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return s;
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}
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float fsumf_linear(const float *p, size_t n) {
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float s = 0;
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for (size_t i = 0; i < n; ++i)
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s += p[i];
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return s;
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}
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float fsumf_kahan(const float *p, size_t n) {
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size_t i;
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float err, sum, t, y;
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sum = err = 0;
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for (i = 0; i < n; ++i) {
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y = p[i] - err;
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t = sum + y;
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err = (t - sum) - y;
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sum = t;
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}
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return sum;
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}
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float fsumf_logarithmic(const float *p, size_t n) {
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size_t i;
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float s;
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if (n > 32)
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return fsumf_logarithmic(p, n / 2) +
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fsumf_logarithmic(p + n / 2, n - n / 2);
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for (s = i = 0; i < n; ++i)
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s += p[i];
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return s;
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}
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template <int N>
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inline float hsum(const float *p) {
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return hsum<N / 2>(p) + hsum<N / 2>(p + N / 2);
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}
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template <>
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inline float hsum<1>(const float *p) {
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return *p;
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}
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#define CHUNK 8
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#define OPTIMIZE __attribute__((__optimize__("-O3")))
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#define PORTABLE __target_clones("avx512f,avx")
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OPTIMIZE PORTABLE float fsumf_nonrecursive(const float *p, size_t n) {
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unsigned i, par, len = 0;
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float sum, res[n / CHUNK + 1];
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for (res[0] = i = 0; i + CHUNK <= n; i += CHUNK)
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res[len++] = hsum<CHUNK>(p + i);
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if (i < n) {
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for (sum = 0; i < n; i++)
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sum += p[i];
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res[len++] = sum;
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}
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for (par = len >> 1; par; par >>= 1, len >>= 1) {
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for (i = 0; i < par; ++i)
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res[i] += res[par + i];
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if (len & 1)
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res[par - 1] += res[len - 1];
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}
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return res[0];
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}
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void test_fsumf_nonrecursive(void) {
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float A[CHUNK * 3];
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for (int i = 0; i < CHUNK * 3; ++i)
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A[i] = numba();
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for (int n = 0; n < CHUNK * 3; ++n)
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if (fabsf(fsumf_nonrecursive(A, n) - fsumf_kahan(A, n)) > 1e-3)
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exit(7);
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}
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float nothing(float x) {
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return x;
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}
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float (*barrier)(float) = nothing;
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#define BENCH(ITERATIONS, WORK_PER_RUN, CODE) \
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do { \
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struct timespec start = timespec_real(); \
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for (int __i = 0; __i < ITERATIONS; ++__i) { \
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asm volatile("" ::: "memory"); \
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CODE; \
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} \
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long long work = (WORK_PER_RUN) * (ITERATIONS); \
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long nanos = \
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(timespec_tonanos(timespec_sub(timespec_real(), start)) + work - 1) / \
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(double)work; \
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printf("%8ld ns %2dx %s\n", nanos, (ITERATIONS), #CODE); \
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} while (0)
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int main() {
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size_t n = 1024;
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float *p = (float *)malloc(sizeof(float) * n);
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for (size_t i = 0; i < n; ++i)
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p[i] = numba();
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float kahan, gold, linear, logarithmic, nonrecursive;
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test_fsumf_nonrecursive();
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BENCH(100, 1, (kahan = barrier(fsumf_kahan(p, n))));
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BENCH(100, 1, (gold = barrier(fsumf_gold(p, n))));
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BENCH(100, 1, (linear = barrier(fsumf_linear(p, n))));
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BENCH(100, 1, (logarithmic = barrier(fsumf_logarithmic(p, n))));
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BENCH(100, 1, (nonrecursive = barrier(fsumf_nonrecursive(p, n))));
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printf("gold = %.12g (%.12g)\n", gold, fabs(gold - gold));
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printf("linear = %.12g (%.12g)\n", linear, fabs(linear - gold));
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printf("kahan = %.12g (%.12g)\n", kahan, fabs(kahan - gold));
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printf("logarithmic = %.12g (%.12g)\n", logarithmic,
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fabs(logarithmic - gold));
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printf("nonrecursive = %.12g (%.12g)\n", nonrecursive,
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fabs(nonrecursive - gold));
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free(p);
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}
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